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Finding the Third Proportional to 171,472.50 and 260,628

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Solution

The third proportional to 171,472.50 and 260,628 is: 396,139.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,472.50 : 260,628 = 260,628 : x
  2. Step 2: Convert to fraction form
    171,472.50/260,628 = 260,628/x
  3. Step 3: Cross multiply
    171,472.50x = 260,628 × 260,628
  4. Step 4: Simplify right side
    171,472.50x = 67,926,954,384
  5. Step 5: Solve for x
    x = 67,926,954,384/171,472.50
  6. Step 6: Final answer
    x = 396,139.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.